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Finding the Third Proportional to 267,651 and 557,502.75

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Solution

The third proportional to 267,651 and 557,502.75 is: 1,161,248.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,651 : 557,502.75 = 557,502.75 : x
  2. Step 2: Convert to fraction form
    267,651/557,502.75 = 557,502.75/x
  3. Step 3: Cross multiply
    267,651x = 557,502.75 × 557,502.75
  4. Step 4: Simplify right side
    267,651x = 310,809,316,257.56
  5. Step 5: Solve for x
    x = 310,809,316,257.56/267,651
  6. Step 6: Final answer
    x = 1,161,248.48

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.